GCD of 832, 142, 706, 199 Calculator

Given Input numbers are 832, 142, 706, 199

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 832, 142, 706, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 142, 706, 199 is 1.

Therefore, GCD of numbers 832, 142, 706, 199 is 1

Given Input Data is 832, 142, 706, 199

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 706 is 2 x 353

Prime Factorization of 199 is 199

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(832, 142) = 59072

GCD(832, 142) = ( 832 x 142 ) / 59072

GCD(832, 142) = 118144 / 59072

GCD(832, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 832, 142, 706, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 166, 181, 458
• GCD of 582, 433, 760, 265
• GCD of 142, 364, 225, 321
• GCD of 917, 314, 356, 807
• GCD of 391, 887, 876, 145

1. What is the GCD of 832, 142, 706, 199?

GCD of 832, 142, 706, 199 is 1

2. Where do I get the detailed procedure to find GCD of 832, 142, 706, 199?

You can find a detailed procedure to find GCD of 832, 142, 706, 199 on our page.

3. How to find GCD of 832, 142, 706, 199 on a calculator?

You can find the GCD of 832, 142, 706, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.